The solution to the inequality - 5.3 + x > 21 is x > 26.3
In mathematics, inequality refers to a relation which makes a non-equal comparison between two numbers or other mathematical expressions. In other words, it is a relationship between two expressions or values that are not equal to each other. It is used generally used to compare two numbers on the number line by their size.
In order to solve the given inequality - 5.3 + x > 21, add 5.3 both sides.
- 5.3 + x + 5.3 > 21 + 5.3
x > 26.3
The solution means that the value of x is greater than 26.3. The solution is graphed on a number line.
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Answer:
The Proof with Statement and Reason are as follow.
A) Reflexive , SAS , CPCTC.
Step-by-step explanation:
Given:
BA ≅ DC
∠BAC ≅ ∠DCA
To Prove:
BC ≅ DA
Proof:
In ΔBCA and ΔDAC
Statement Reasons
1. BA ≅ DC 1. Given
∠BAC ≅ ∠DCA
2. AC ≅ CA 2. Reflexive Property
3. ΔBCA ≅ ΔDAC 3. S-A-S test
4. BC ≅ DA 4. CPCTC
It will take 36.6 or 37 months.
We will set up an equation to represent this. Let m be the number of months. The amount of money she has paid can be represented by 3000+430m. The amount of money her car is worth can be represented by 26868-223m. Set these equal:
3000+430m=26868-223m
Add 223m to both sides:
3000+430m+223m = 26868-223m+223m
3000+653m=26868
Subtract 3000 from both sides:
3000+653m-3000 = 26868-3000
653m=23868
Divide both sides by 653:
653m/653 = 23868/653
m = 36.6
